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vovangra [49]
2 years ago
8

Find the total surface area of this triangular prism.

Mathematics
1 answer:
Zinaida [17]2 years ago
4 0

Answer:

The surface area of the prism is 144cm²

Step-by-step explanation:

First of all we need to calculate the area of ​​the triangle

a = area of triangle

a = (8 cm * 6 cm) / 2

a = 48cm² / 2

a = 24cm²

Now we have to calculate the 3 areas of the rectangles

a1 = 4cm * 10cm

a1 = 40cm²

a2 = 4cm * 8cm

a2 = 32cm²

a3 = 4cm *6cm

a3 = 24cm²

Now we must add all the calculated areas and the triangle 2 times

a1 + a2 + a3 + 2a =

40cm² + 32cm² + 24cm² + 2 * 24cm²

144cm²

The surface area of the prism is 144cm²

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Answer:

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Step-by-step explanation:

Length of the arc = \frac{\theta}{360}(2\pi r)

Here, θ = angle subtended by the arc at the center

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Since, angle subtended by the bold arc at the center = 360 - 73

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And radius of the circle 'r' = 14.5 ft

By substituting these values in the formula,

Length of the bold arc = \frac{287}{360}\times (2\pi)(14.5)

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Answer:

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Step-by-step explanation:

see the attached figure to better understand the problem

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